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 A220469 Fibonacci 14-step numbers, a(n) = a(n-1) + a(n-2) + ... + a(n-14). 1
 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16383, 32765, 65528, 131052, 262096, 524176, 1048320, 2096576, 4193024, 8385792, 16771072, 33541120, 67080192, 134156288, 268304384, 536592385, 1073152005, 2146238482, 4292345912, 8584429728 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Also called tetradecanacci numbers. In previous similar sequences, a(1),...,a(n-1) have been set equal to zero and a(n)=1. For example, A168084 (Fibonacci 13-step numbers) has 12 0's as the first 12 terms and a(13)=1. LINKS M. Janjic, On Linear Recurrence Equations Arising from Compositions of Positive Integers, J. Int. Seq. 18 (2015) # 15.4.7 Tony D. Noe and Jonathan Vos Post, Primes in Fibonacci n-step and Lucas n-step Sequences, J. of Integer Sequences, Vol. 8 (2005), Article 05.4.4 Index entries for linear recurrences with constant coefficients, signature (1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1). MATHEMATICA FibonacciSequence[n_, kMax_] := Module[{a, s}, a = Join[{1}, Table[0, {n - 1}]]; lst = {}; Table[s = Plus @@ a; a = RotateLeft[a]; a[[n]] = s, {k, 1, kMax}]]; FibonacciSequence[14, 50] (* T. D. Noe, Feb 20 2013 *) Drop[LinearRecurrence[PadRight[{}, 14, 1], Join[PadRight[{}, 13, 0], {1}], 50], 13] (* Harvey P. Dale, Feb 25 2013 *) LinearRecurrence[{1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096}, 35] (* Ray Chandler, Aug 03 2015 *) CROSSREFS Cf. A000045 (Fibonacci), A000073 (tribonacci), A000078 (tetranacci), A001591 (pentanacci). Sequence in context: A216095 A190126 A219676 * A220051 A220493 A320487 Adjacent sequences:  A220466 A220467 A220468 * A220470 A220471 A220472 KEYWORD nonn AUTHOR Ruskin Harding, Feb 20 2013 STATUS approved

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Last modified May 22 18:53 EDT 2019. Contains 323481 sequences. (Running on oeis4.)